Question
Find the limits $$\lim _{x \rightarrow \infty}(1+2 x)^{1 /(2 \ln x)}$$
Step 1
Step 1: We can rewrite the given function as follows: $$f(x) = (1+2x)^{1/(2\ln x)} = e^{\ln((1+2x)^{1/(2\ln x)})}$$ Using the property of logarithms, we can simplify this to: $$f(x) = e^{(\ln(1+2x))/(2\ln x)}$$ Show more…
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